Monotonization of flux, entropy and numerical schemes for conservation laws

The concept of renormalized entropy solution as defined above is an extension to the setting of scalar conservation laws of the notion of renormalized solution as it

In this paper, we investigate the coupling of the Multi-dimensional Optimal Order De- tection (MOOD) method and the Arbitrary high order DERivatives (ADER) approach in order to design

The aim of this paper is to address more general approximations, including those of co-located or staggered type; indeed, we prove the LW-consistency of a generic finite

We study here the discretization by monotone finite volume schemes of multi-dimensional nonlinear scalar conservation laws forced by a multiplicative noise with a time and

In such a paper, the authors were interested in the discretization of a nonlinear hyperbolic equation and proved the convergence of the solution given by an upwind finite volume

In Section 3.2, we give main details on the idea of a global singular change of variables that permits to reduce the case of flux f with Lipschitz jump

• Arnaud Debussche et Julien Vovelle [ DV10b ] ou [ DV14 ] pour leur article de référence, base de réflexion pour mon mémoire de M2 et origine de cette thèse « Scalar

inhomogeneous scalar conservation law; discontinuous flux; change of variables; entropy solution; vanishing viscosity approximation; well-posedness; crossing